Solve 7860div289

$$7860 \div 289$$

Evaluate

$$\frac{7860}{289}\approx 27.197231834$$

Steps For Long Division Method

Use the 1^{st} digit 7 from dividend 7860

$$\begin{array}{l}\phantom{289)}\phantom{1}\\289\overline{)7860}\\\end{array}$$

Since 7 is less than 289, use the next digit 8 from dividend 7860 and add 0 to the quotient

$$\begin{array}{l}\phantom{289)}0\phantom{2}\\289\overline{)7860}\\\end{array}$$

Use the 2^{nd} digit 8 from dividend 7860

$$\begin{array}{l}\phantom{289)}0\phantom{3}\\289\overline{)7860}\\\end{array}$$

Since 78 is less than 289, use the next digit 6 from dividend 7860 and add 0 to the quotient

$$\begin{array}{l}\phantom{289)}00\phantom{4}\\289\overline{)7860}\\\end{array}$$

Use the 3^{rd} digit 6 from dividend 7860

$$\begin{array}{l}\phantom{289)}00\phantom{5}\\289\overline{)7860}\\\end{array}$$

Find closest multiple of 289 to 786. We see that 2 \times 289 = 578 is the nearest. Now subtract 578 from 786 to get reminder 208. Add 2 to quotient.

$$\begin{array}{l}\phantom{289)}002\phantom{6}\\289\overline{)7860}\\\phantom{289)}\underline{\phantom{}578\phantom{9}}\\\phantom{289)}208\\\end{array}$$

Use the 4^{th} digit 0 from dividend 7860

$$\begin{array}{l}\phantom{289)}002\phantom{7}\\289\overline{)7860}\\\phantom{289)}\underline{\phantom{}578\phantom{9}}\\\phantom{289)}2080\\\end{array}$$

Find closest multiple of 289 to 2080. We see that 7 \times 289 = 2023 is the nearest. Now subtract 2023 from 2080 to get reminder 57. Add 7 to quotient.

$$\begin{array}{l}\phantom{289)}0027\phantom{8}\\289\overline{)7860}\\\phantom{289)}\underline{\phantom{}578\phantom{9}}\\\phantom{289)}2080\\\phantom{289)}\underline{\phantom{}2023\phantom{}}\\\phantom{289)99}57\\\end{array}$$

Since 57 is less than 289, stop the division. The reminder is 57. The topmost line 0027 is the quotient. Remove all zeros at the start of the quotient to get the actual quotient 27.

$$\text{Quotient: }27 \text{Reminder: }57$$

Factor

$$\frac{2 ^ {2} \cdot 3 \cdot 5 \cdot 131}{17 ^ {2}} = 27\frac{57}{289} = 27.197231833910035$$